Paths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type C_n
| dc.creator | Nakai, Wakako | |
| dc.creator | Nakanishi, Tomoki | |
| dc.date | 2006-04-07 | |
| dc.date | 2007-07-24 | |
| dc.date.accessioned | 2026-07-07T08:19:47Z | |
| dc.date.available | 2026-07-07T08:19:47Z | |
| dc.description | We study the Jacobi-Trudi-type determinant which is conjectured to be the q-character of a certain, in many cases irreducible, finite-dimensional representation of the quantum affine algebra of type C_n. Like the D_n case studied by the authors recently, applying the Gessel-Viennot path method with an additional involution and a deformation of paths, we obtain a positive sum expression over a set of tuples of paths, which is naturally translated into the one over a set of tableaux on a skew diagram. | |
| dc.description | 21 pages, 10 figures, the final (journal) version published in SIGMA at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/math/0604158 | |
| dc.identifier | http://arxiv.org/abs/math/0604158 | |
| dc.identifier | SIGMA 3 (2007), 078, 20 pages | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134882 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 17B37 (Primary) 81R50, 82B23 (Secondary) | |
| dc.title | Paths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type C_n | |
| dc.type | text |